In [1]}, it was explained how \(t=0\)  Macdonald polynomials (i.e., \(q\) -Whittaker functions) converge to Whittaker functions. Certain tail estimates necessary for that argument were further provided in [2]}. The resulting convergence holds that
\(\psi ^\varepsilon _w(x)\longrightarrow \psi _w(x).\) 
